Answer:![(x_1,y_1)=(1,-2)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%281%2C-2%29)
![(x_2,y_2)=(-8,-2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%28-8%2C-2%29)
Step-by-step explanation:
Given
Co ordinates of vertices(1,-6) and (-8,-6)
When two points is given then Length of two points is given by
![L=\sqrt{\left ( x_2-x_1\right )^2+\left ( y_2-y_1\right )^2}](https://tex.z-dn.net/?f=L%3D%5Csqrt%7B%5Cleft%20%28%20x_2-x_1%5Cright%20%29%5E2%2B%5Cleft%20%28%20y_2-y_1%5Cright%20%29%5E2%7D)
![L=\sqrt{\left ( 1-\left ( -8\right )\right )^2+\left ( -6+6\right )^2}](https://tex.z-dn.net/?f=L%3D%5Csqrt%7B%5Cleft%20%28%201-%5Cleft%20%28%20-8%5Cright%20%29%5Cright%20%29%5E2%2B%5Cleft%20%28%20-6%2B6%5Cright%20%29%5E2%7D)
![L=\sqrt{9^2}=9 units](https://tex.z-dn.net/?f=L%3D%5Csqrt%7B9%5E2%7D%3D9%20units)
Perimeter of rectangle is =26 units
Let the other side be x
thus
![2\left ( x+9\right )=26](https://tex.z-dn.net/?f=2%5Cleft%20%28%20x%2B9%5Cright%20%29%3D26)
x+9=13
x=4 units
therefore to get the other two co ordinates
such that the length of that side is 4 units is
![(x_1,y_1)=(1,-2)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%3D%281%2C-2%29)
![(x_2,y_2)=(-8,-2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%3D%28-8%2C-2%29)
Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates
To verify the above two distance between two points must be 13 units
Answer: im so confused
Step-by-step explanation:
In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.
Given that:
mArc R V = mArc V U,
Angle S O R = 13 x degrees
Angle T O U = 15 x - 8 degrees
<h3>How to calculate the angle TOU ?</h3>
∠SOR = ∠TOU (Vertically opposite angles are equal).
Therefore:
13 x = 15x - 8
Subtracting 13x from both sides
13x - 13x = 15x - 8 - 13x
0 = 15x - 13x - 8
2x - 8 = 0
Adding 8 to both sides:
2x - 8 + 8 = 0 + 8
2x = 8
2x/2 = 8/2
x = 4
∠SOR = 13x
= 13(4)
= 52°
∠TOU = 15x - 8
= 15(4) - 8
= 60 - 8
= 52°
Let a = mArc R V = mArc V U
Therefore:
mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)
Substituting:
a + a + 52 = 180
2a = 180-52
2a = 128
a = 128/2
a= 64°
mArc R V = mArc V U = 64°
In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.
Learn more about angles here:
brainly.com/question/2882938
#SPJ1
Answer:
198.95 cm²
Step-by-step explanation:
Circumference = 50cm
C = πD
D = C/π
r = D/2
r = 50/π/2
r= 7.957747…..cm
Area = π r²
A = π x 7.957747….²
A = 198.95 cm² (2dp)